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Kazeer [188]
3 years ago
9

15. (NO CALCULATOR) A restaurant took 1/3 of an hour to use 1/5 of a

Mathematics
1 answer:
kotykmax [81]3 years ago
8 0

Answer:

It would take 5/3 or 1 2/3 hours to use a package of napkins.

Step-by-step explanation:

1/3=1/5

2/3=2/5

3/3=3/5

4/3=4/5

5/3=5/5

5/3= 1 2/3

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A five-year prospective cohort study has just been completed. The study was designed to assess the association between supplemen
Sholpan [36]

Answer:

Assessing the association between supplemental vitamin A exposure and mortality and morbidity for measles:

Regarding the relative risk, the correct statement is:

a. Exposure to vitamin A appears to protect against morbidity and mortality for measles.

Step-by-step explanation:

Relative risk for incidence of measles = 0.75

Relative risk for measles mortality = 0.5

Relative risk for mortality and morbidity for measles = 0.375 (0.75 * 0.5)

The combined relative risk is less than 50%

The association is weak because RR is less than 1.

Therefore, there is no association between supplemental vitamin A exposure and mortality and morbidity for measles.

6 0
3 years ago
Express 25 to the power of 4x as a power of 5 in terms of x
kirza4 [7]

Step-by-step explanation:

25^(4x) = (25^4)^x = (5^8)^x = 5^(8x).

4 0
3 years ago
Consider quadrilateral EFGH. Quadrilateral E F G H is shown. Sides F G and E H are parallel. Angles E and H are congruent. The l
KATRIN_1 [288]

3. The length of the line segment is 16 units

<u>Step-by-step explanation:</u>

Considering the properties of quadrilateral, opposite sides are parallel and equal, we can find the value of n, using that n value we can find the value of segment GH.

As given in the problem, sides FG and EH are parallel and so they are equal.

So we can write, the next side EF and GH is also parallel,

EF = GH

4n-4 = 2n+ 6

Grouping the terms we will get ,

4n - 2n = 6+ 4

2n = 10

n = 10/2 = 5

So GH = 2(5) + 6 = 10+ 6 = 16 units.

4 0
3 years ago
Read 2 more answers
Which translation maps the graph of the function fx=x2 onto the function gx= x2+(-8x)+7
Olin [163]

Answer:

<h2>Shift the graph of f(x) 4 units to the right</h2><h2>and 7 units up</h2>

Step-by-step explanation:

f(x) + n - shift a graph of f(x) n units up

f(x) - n - shift a graph of f(x) n units down

f(x + n) - shift a graph of f(x) n units to the left

f(x - n) - shift a graph of f(x) n units to the right

=============================================

We have

f(x)=x^2,\ g(x)=x^2+(-8x)+7

Convert the equation of g(x) to the vertex formula:

y=a(x-h)^2+k

g(x)=x^2+(-8x)+7\\\\g(x0=x^2-2(x)(4)+7\\\\g(x)=\underbrace{x^2-2(x)(4)+4^2}-4^2+7\qquad\text{use}\ (a-b)^2=a^2-2ab+b^2\\\\g(x)=(x-4)^2+7=f(x-4)+7\\\\\text{shift the graph of f(x) 4 units to the right and 7 units up}

8 0
3 years ago
Can someone please help on number 20? WILL MARK YOU AS BRAINIEST. (can you also show how you do the problem?) :(
PSYCHO15rus [73]

Answer:

x =(22-√196)/6=(11-7)/3= 1.333

Step-by-step explanation:

(3x2 -  22x) +  24  = 0

The first term is,  3x2  its coefficient is  3 .

The middle term is,  -22x  its coefficient is  -22 .

The last term, "the constant", is  +24

Step-1 : Multiply the coefficient of the first term by the constant   3 • 24 = 72

Step-2 : Find two factors of  72  whose sum equals the coefficient of the middle term, which is   -22 .

     -72    +    -1    =    -73

     -36    +    -2    =    -38

     -24    +    -3    =    -27

     -18    +    -4    =    -22    That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -18  and  -4

                    3x2 - 18x - 4x - 24

Step-4 : Add up the first 2 terms, pulling out like factors :

                   3x • (x-6)

             Add up the last 2 terms, pulling out common factors :

                   4 • (x-6)

Step-5 : Add up the four terms of step 4 :

                   (3x-4)  •  (x-6)

            Which is the desired factorization

Equation at the end of step 2:

 (x - 6) • (3x - 4)  = 0

STEP 3:

Theory - Roots of a product

3.1    A product of several terms equals zero.

When a product of two or more terms equals zero, then at least one of the terms must be zero.

We shall now solve each term = 0 separately

In other words, we are going to solve as many equations as there are terms in the product

Any solution of term = 0 solves product = 0 as well.

5 0
3 years ago
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